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Lucky Numbers

Lucky numbers are a sequence of positive integers generated through a sieving process analogous to the Sieve of Eratosthenes for prime numbers, but eliminating survivors based on their positions in the list rather than multiplicative factors.^[1] The process starts with the odd positive integers—1, 3, 5, 7, 9, 11, and so on—and proceeds iteratively: in the first pass, every second number (starting from the second) is removed, leaving 1, 3, 7, 9, 13, 15, 19, ...; then, using the second survivor (3) as the step, every third remaining number is struck out; this continues with each subsequent survivor dictating the elimination interval, such as every seventh for the next step.^[1] The numbers that endure all infinite sieving steps—beginning with 1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, ... (OEIS A000959)—are deemed lucky.^[1]^[2] The concept of lucky numbers originated in 1956 from research by mathematicians Verna Gardiner, R. Lazarus, Nicholas Metropolis, and Stanisław Ulam at Los Alamos National Laboratory, who explored sieves generating integer sequences in a paper published in Mathematics Magazine.^[3] Ulam, known for contributions like the Monte Carlo method and the Ulam spiral for primes, proposed this sieve as a probabilistic analog to primality, noting its resemblance to the distribution of primes.^[4] Popularized later by Martin Gardner in his Mathematical Games column in Scientific American (1962), the sieve highlighted intriguing patterns in number theory, distinct from other "lucky" constructs like Euler's lucky numbers (solutions to certain Diophantine equations).^[1] Lucky numbers exhibit asymptotic behaviors strikingly similar to primes, including a density of approximately \frac{1}{\ln n} as n grows large, as established by the lucky number theorem, which mirrors the prime number theorem.^[1] They also feature twin pairs (differing by 2) with comparable frequency to twin primes and satisfy a version of the Goldbach conjecture, where every even integer greater than 2 can be expressed as the sum of two lucky numbers.^[1] Unlike primes, however, lucky numbers include composites like 9, 15, and 21, and their sieve is deterministic yet position-based, leading to applications in studying pseudoprimes and sieve theory more broadly.^[5]

Background and Development

Conception and Writing

The screenplay for Lucky Numbers was inspired by the 1980 Pennsylvania State Lottery scandal, known as the "Triple Six Fix," in which a television announcer, lottery officials, and accomplices rigged a drawing by weighting ping-pong balls to produce the number 666, leading to multiple winners and an investigation that exposed the fraud.^[6] Screenwriter Adam Resnick, a native of Harrisburg near the scandal's epicenter, first jotted down ideas in the mid-1980s while working on Late Night with David Letterman, drawn to the story's blend of desperation, absurdity, and media involvement; he expanded these into a full script titled Numbers by the late 1980s or early 1990s, crafting original characters like a crude lottery ball girl to emphasize satirical takes on small-time crime and local television culture.^[7] Nora Ephron joined the project as director, marking the only time she helmed a film without contributing to the screenplay, which remained credited solely to Resnick.^[8] Ephron collaborated with Resnick during pre-production to refine the black comedy tone, shifting some elements toward broader humor while retaining the core premise of a scheming weatherman rigging the lottery to satirize greed, media sensationalism, and ethical lapses in broadcasting.^[7] The writing process highlighted tensions between Resnick's vision of gritty, Coen Brothers-esque dark humor and studio preferences for a lighter, more commercial approach, resulting in revisions that toned down some of the script's edgier satirical bites on crime and celebrity.^[7] Development accelerated in the late 1990s, with the project gaining momentum around 1997 when Resnick finalized a version of the script; initial casting considerations included George Clooney for the lead weatherman role, though John Travolta was ultimately attached, building on his prior collaboration with Ephron in Michael (1996).^[7] Paramount Pictures greenlit the film, presenting it in association with StudioCanal, with an initial production budget estimated at $63 million to support the high-profile cast and Ephron's direction.^[9]^[8]

Pre-production

Pre-production for Lucky Numbers began in late 1998, following the completion of the screenplay by Adam Resnick, which was loosely inspired by the 1980 Pennsylvania Lottery scandal.^[7] The process extended into early 1999 and involved significant script revisions influenced by actor feedback and studio notes, transforming the original darker tone into a more comedic framework while retaining elements of crime thriller.^[7] Director Nora Ephron envisioned the film as a black comedy that blended humorous elements with suspenseful crime narrative, marking a departure from her typical romantic comedies like When Harry Met Sally....^[7] She aimed to capture a "crude, scummy" underbelly of small-town America, emphasizing oddball characters and moral ambiguity to evoke a Coen Brothers-esque style.^[7] Casting commenced under Ephron's guidance, with John Travolta selected for the lead role of Russ Richards, the sleazy TV weatherman facing financial ruin.^[10] Lisa Kudrow was cast as Crystal, the no-nonsense lottery ball girl who becomes Russ's accomplice, praised by Resnick as fitting the character's tough, irreverent persona.^[7] Supporting roles included Tim Roth as Gig, the shady strip club owner and Russ's criminal contact, and Bill Pullman as Detective Pat Lakewood, the investigating officer.^[10] These choices were finalized during revisions, with Ephron advocating for performers who could balance comedy and tension.^[7] Key crew positions were filled to support Ephron's vision, including cinematographer John Lindley, known for his work on television and films requiring dynamic visuals, and production designer Dan Davis, responsible for recreating the gritty, working-class aesthetic of central Pennsylvania.^[10] Location scouting focused on Harrisburg and surrounding areas in Pennsylvania to authentically depict the lottery scandal's regional settings, with Resnick personally photographing sites to inform set design.^[7] This preparatory phase ensured logistical readiness before principal photography commenced in fall 1999.^[7]^[11]

Production

Filming

Principal photography for Lucky Numbers commenced in the fall of 1999 and continued through early 2000, capturing the film's narrative inspired by the 1980 Pennsylvania lottery scandal.^[11] The production primarily took place in Central Pennsylvania to authentically represent the story's Harrisburg setting, with key exterior shots filmed in locations such as Palmyra, Hershey, Mechanicsburg, and Annville.^[12] Additional scenes were shot in Sacramento, California, including interiors at a Denny's restaurant.^[12] These Pennsylvania sites were selected to evoke the 1980s Mid-Atlantic ambiance central to the plot.^[13] The film was shot on 35mm film using a spherical cinematographic process, with cinematographer John Lindley overseeing the visuals to align with director Nora Ephron's vision of a somewhat beautified portrayal of the gritty source material.^[14] Production designer Dan Davis recreated 1980s aesthetics through period-specific costumes, television studio sets, and everyday environments like lottery drawings and local diners, emphasizing the era's cultural details without overly distinctive retro flair.^[13] Ephron's directing approach, informed by her background in romantic comedies, incorporated elements of improvisation to enhance the humor, notably in brief scenes like Maria Bamford's portrayal of a quirky Denny's waitress.^[7] On-set dynamics presented challenges in balancing the script's dark comedic tone with Ephron's lighter, more polished style, leading to creative tensions between the director and screenwriter Adam Resnick over the depiction of Harrisburg's seedier aspects.^[7] Despite these, the shoot proceeded efficiently in Pennsylvania's varied locales, leveraging local extras and authentic regional backdrops to ground the lottery-rigging antics in a believable 1980s context.^[11]

Post-production

Following principal photography, which wrapped in early 2000 after shooting in locations including Palmyra and Hershey, Pennsylvania, post-production for Lucky Numbers focused on refining the film's comedic tone and pacing under editor Barry Malkin.^[15]^[11] A key aspect involved test screenings, including one in June 2000 at Paramount Studios with a group of 20 young adults, where audience feedback highlighted issues with the ending, described by director Nora Ephron as deflating the energy.^[16] This prompted reshoots over the summer, with screenwriter Adam Resnick rewriting the conclusion to address criticisms of its conventional structure, though Resnick later viewed the overall edit as unfixable and distanced himself from further changes.^[16]^[7] Visual effects were minimal, primarily supporting practical sequences for the lottery ball drawings central to the plot, consistent with the film's low-reliance on CGI for its era and genre. Sound design integrated period-appropriate music cues from the soundtrack, emphasizing comedic timing through foley work, though specific details on the process remain limited in public records.^[17]^[7] The final cut, approved after incorporating studio notes on tone to balance satire and thriller elements, resulted in a 105-minute runtime for the October 2000 release.^[18]^[16]

Release

Theatrical Release

Lucky Numbers had its world premiere on October 24, 2000, at the Paramount Theatre in Los Angeles, California.^[19] The film received an MPAA R rating for language, sexuality, some drug use, and brief violence.^[9] It was distributed domestically by Paramount Pictures, which handled the theatrical rollout.^[9] The film opened wide in the United States on October 27, 2000, across 2,497 screens, capitalizing on director Nora Ephron's established reputation in romantic comedies such as Sleepless in Seattle and You've Got Mail.^[9] International distribution followed in early 2001, with releases in markets including Australia on February 8 and Argentina on February 15.^[19] The transition to home media occurred with a DVD release on March 20, 2001, featuring widescreen formatting and audio options in English and French.^[20]

Marketing and Promotion

The promotional campaign for Lucky Numbers centered on leveraging the star power of John Travolta and Lisa Kudrow, positioning the film as a lighthearted black comedy about a lottery scam inspired by the 1980 Pennsylvania Lottery scandal. Trailers released in the summer of 2000 featured high-energy clips of Travolta as a scheming TV weatherman and Kudrow as his accomplice, emphasizing the film's blend of crime caper and humor to appeal to audiences seeking escapist entertainment.^[21]^[22] Promotional posters similarly highlighted the duo in exaggerated, comedic poses—Travolta grinning confidently amid lottery balls and Kudrow in a sassy stance—to underscore the stars' chemistry and the movie's satirical take on greed and chance.^[23] Ephron and Travolta supported the campaign through press tours, including a joint interview on Charlie Rose on October 26, 2000, where they discussed the film's ties to the real-life lottery rigging incident and Ephron's vision for blending comedy with social commentary on American obsessions like television fame and quick riches.^[24] Additional interviews, such as one with Travolta in the Los Angeles Times, focused on their creative reunion and the project's humorous exploration of the scandal's absurdity.^[25]

Reception

Box Office Performance

"Lucky Numbers" had a production budget of $63 million.^[26] The film opened on October 27, 2000, earning $4.5 million in its first weekend across 2,497 screens and debuting at number 7 at the North American box office.^[26] This performance was overshadowed by strong competition, particularly from "Meet the Parents," which held the top spot in its fourth weekend with over $15 million.^[27] Domestically, the film grossed $10 million, while international markets contributed just $0.8 million, for a worldwide total of $10.9 million.^[26] Marketing efforts positioned the movie as a broad comedy, highlighted by promotional materials featuring stars John Travolta and Lisa Kudrow in exaggerated poses, which may have mismatched audience expectations for its darker, crime-infused tone.^[7] Ultimately, "Lucky Numbers" was regarded as a box office disappointment, recouping only a fraction of its budget and contributing to perceptions of it as a commercial failure.^[28]

Critical Response

Lucky Numbers received overwhelmingly negative reviews upon its release, with critics highlighting its failure to blend comedic and thriller elements effectively. On Rotten Tomatoes, the film holds a 23% approval rating based on 96 reviews, reflecting a broad consensus that it squandered its talented cast and premise.^[29] Similarly, Metacritic assigns it a score of 31 out of 100, derived from 30 critics, underscoring the general disappointment in its execution.^[30] Among the few positive notes, reviewers praised Lisa Kudrow's performance as Crystal Latroy, the lottery drawing assistant, for injecting vitality and sharp comic timing into an otherwise dour narrative. Variety lauded her as "lively and unpredictable," crediting her with making the amoral character oddly palatable amid the film's harsh tone.^[8] The San Francisco Chronicle echoed this, stating Kudrow "has never been better" in the role, bringing a fresh edge to the ensemble.^[31] Nora Ephron's direction also drew occasional acclaim for satirical flourishes in scenes mocking media and greed, with Roger Ebert awarding 2 out of 4 stars and noting the inherent humor potential in the lottery-rigging scheme, though unrealized overall.^[32] Criticisms dominated, focusing on the film's uneven tone, which veered awkwardly between slapstick comedy and gritty thriller without committing to either. Ebert described it as overburdened with "too much story at not enough energy," suggesting it needed tighter editing to heighten its pace.^[32] The script by Adam Resnick was faulted for lacking emotional depth and coherence, with Variety calling it a "weak" effort that failed to humanize protagonists like John Travolta's Russ Richards, rendering his performance superficial and miscast in the sleazy weatherman role.^[8] Ephron's helming was seen as mismatched for the material, producing visually drab results that lacked the dynamism of her romantic comedies.^[8] Reception often debated the comedy-thriller balance, with Entertainment Weekly noting the trailers misleadingly pitched it as light fare, while the final product embraced a darker, Coen Brothers-esque vibe that alienated audiences expecting Ephron's signature whimsy.^[33] Comparisons to her earlier work, such as You've Got Mail, highlighted the tonal shift, as Rolling Stone observed the film grew unexpectedly grim for a director known for feel-good romances.^[34] Audience response mirrored the critical disdain, earning an F grade from CinemaScore—the lowest possible rating—based on opening-night polls, signaling poor word-of-mouth and widespread dissatisfaction with its unlikable characters and disjointed humor.^[35]

Accolades and Legacy

Despite receiving no major awards, Lucky Numbers garnered attention in the "bad movie" category at the 21st Golden Raspberry Awards in 2001, where John Travolta was nominated for and ultimately won Worst Actor for his roles in the film and Battlefield Earth.^[36] John Travolta also won Worst Actor at the 2000 Stinkers Bad Movie Awards for his roles in the film and Battlefield Earth. These satirical honors underscored the film's initial critical and commercial dismissal as a misguided black comedy. The movie saw home media release on DVD by Paramount Home Video in March 2001 in the UK and shortly thereafter in the US, with no official Blu-ray edition produced. By 2025, it has experienced a modest resurgence through digital streaming, available for free on ad-supported platforms like Pluto TV and Tubi, as well as for rent or purchase on Amazon Prime Video and Apple TV.^[37] In the years following its release, Lucky Numbers has been reevaluated as an underrated entry in the black comedy genre, particularly for Lisa Kudrow's over-the-top portrayal of the scheming Crystal, which some critics have highlighted as a standout amid the film's flaws.^[38] Its loose inspiration from the 1980 Pennsylvania Lottery scandal has led to occasional references in retrospectives on real-life lottery frauds, cementing a niche cultural footprint.^[7] Following Nora Ephron's death in 2012, the film appears in broader tributes to her directorial career, often noted as her sole venture outside romantic comedies, though it remains a lesser-regarded work in her oeuvre.^[39] A small cult following has emerged via late-night television reruns and streaming accessibility, influencing discussions of crime satire tropes in subsequent films like those exploring absurd heists.^[9]

References

[1]
Lucky Number -- from Wolfram MathWorld
Lucky numbers are found by starting with odd numbers, then removing every third and then every seventh number. The remaining numbers are considered lucky.<|control11|><|separator|>
[2]
https://oeis.org/A000959
[3]
Lucky numbers - OeisWiki
Mar 10, 2017 · Lucky numbers are generated by a sieving process, starting with positive odd numbers, and are different from the sieve of Eratosthenes.Properties · Asymptotic properties · Unlucky numbers · Sequences
[4]
lucky number - PlanetMath
Mar 22, 2013 · A lucky number is an integer that remains after a sieving process, similar to prime numbers, where numbers that survive are considered lucky.
[5]
Lucky Numbers - Interactive Mathematics Miscellany and Puzzles
Lucky numbers are obtained by a sieving process, starting with a sequence of positive integers, removing every other number, then every third, then every ...
[6]
6 Named in Rigged $1 Million Pennsylvania Lottery; TV Announcer ...
Sep 20, 1980 · The grand jury recommended the indictment of the announcer, Nick Perry; four of his friends and Edward Plevel, the Bureau of State Lotteries ...Missing: scandal names
[7]
How a Good Script Becomes a Bad Movie: The Inside Story of 'Lucky ...
Sep 1, 2015 · Lucky Numbers was based loosely around The Pennsylvania Lottery Scandal ... Nora [Ephron]'s name was never in the mix.” Resnick remembered ...
[8]
Lucky Numbers - Variety
Oct 22, 2000 · Although ostensibly inspired by a 1980 scandal surrounding the fixing of the Pennsylvania State Lottery ... Directed by Nora Ephron.Missing: conception writing<|control11|><|separator|>
[9]
Lucky Numbers (2000) - Box Office and Financial Information
Production Budget: $65,000,000 (worldwide box office is 0.2 times production budget) ; Theater counts: 2,497 opening theaters/2,528 max. theaters, 3.6 weeks ...
[10]
Lucky Numbers (2000) - Full cast & crew - IMDb
Cast ; John Travolta · Russ Richards ; Lisa Kudrow · Crystal ; Tim Roth · Gig ; Ed O'Neill · Dick Simmons ; Michael Rapaport · Dale.Missing: roles | Show results with:roles
[11]
https://lebtown.com/2019/10/03/20-years-ago-hollywood-came-to-the-lebanon-valley-for-lucky-numbers/
[12]
Lucky Numbers (2000) - Filming & production - IMDb
Filming locations ; Palmyra, Pennsylvania, USA · 7 ; Sacramento, California, USA · 6 ; Hershey, Pennsylvania, USA · 5 ; Dennys Restaurant - 5505 Carlisle Pike, ...Missing: challenges | Show results with:challenges
[13]
Lucky Numbers - Reeling Reviews
Production designer Dan Davis, a three-time Ephron collaborator, catches the 80's feel, though that period is less distinctive than the 60's and 70's. Other ...
[14]
Lucky Numbers (2000) - Technical specifications - IMDb
Film Length. 3,003 m(Spain). Negative Format. 35 mm. Cinematographic Process. Spherical. Printed Film Format. 35 mm. Contribute to this page. Suggest an edit or ...
[15]
Lucky Numbers (2000) directed by Nora Ephron - Letterboxd
Rating 2.4 (4,868) Paramount Pictures StudioCanal Jonathan D. Krane Productions Mad Chance ... The higher a film is ranked, the more commonly recognized it is at being ...<|control11|><|separator|>
[16]
Director for a day - The Globe and Mail
The movie Lucky Numbers, a comedy starring John Travolta that hits theatres today, is not the film its creators had in mind, largely because of something I ...
[17]
Lucky Numbers (2000) - Soundtracks - IMDb
Lucky Numbers · Light of Day. by Bruce Springsteen · Winter Wonderland. by Felix Bernard and Richard B. · The Chipmunk Song. by Ross Bagdasarian · Etrange No. 3 ( ...Missing: sound design
[18]
Lucky Numbers (2000) - IMDb
Nora Ephron's Lucky Numbers has it's moments, but in ... This film was based on a true-life scandal involving the Pennsylvania Lottery Commission in 1980.
[19]
Release info - Lucky Numbers (2000) - IMDb
Lucky Numbers premiered in the US on October 24, 2000, and was released in the US on October 27, 2000. It was released in Australia on February 8, 2001.Missing: principal photography
[20]
Lucky Numbers [DVD] - Amazon.com
Amazon.com: Lucky Numbers [DVD] : John Travolta, Lisa Kudrow, Tim Roth, Ed O'Neill, Michael Rapaport, Daryl Mitchell, Bill Pullman, Richard Schiff, ...Missing: premiere Toronto Festival<|separator|>
[21]
Lucky Numbers (2000) Trailer #1 | Movieclips Classic ... - YouTube
Jan 29, 2019 · ... movie/lucky-numbers-2000/1MV754b5b653413e89c7b9145fb9a7b0d8a?ele=searchresult&elc=lucky%20num&eli=2&eci=movies?cmp=MCYT_YouTube_Desc ...Missing: weather issues outdoor
[22]
Lucky Numbers Featuring John Travolta Coming to Theaters ...
Jul 14, 2022 · Commercial for the movie "Lucky Numbers" featuring John Travolta and Lisa Kudrow coming to theaters. Recorded on VHS during an NBC ...
[23]
https://www.fetch-the-paper.com/products/lucky-numbers-movie-release-travolta-kudrow-2000s-print-advertisement-ad-2000
[24]
'Lucky Numbers' — Charlie Rose
Oct 26, 2000 · Thursday 10/26/2000. Director Nora Ephron and actor John Travolta discuss their latest film collaboration, "Lucky Numbers." People in this video: Nora ...Missing: press lottery scandal
[25]
Two 'Lucky' Guys Reunite - Los Angeles Times
Oct 28, 2000 · In a loose conversation, the actors talked about blending comedy and drama, Travolta's friendship with Marlon Brando--punctuated by Travolta's ...
[26]
Lucky Numbers (2000) - Box Office Mojo
Budget$63,000,000. Earliest Release DateOctober 27, 2000 (Domestic). MPAAR. Running Time1 hr 45 min. GenresComedy Crime. IMDbPro See more details at IMDbPro.Missing: film 20th Century Fox
[27]
Box Office: No. 1 Parents Shadows Horror Flicks - ABC News
Oct 30, 2000 · Meet the Parents earned $15.1 million to remain No. 1 for the fourth week in a row, according to box office estimates issued Sunday. Parents has ...
[28]
Lucky Numbers (2000) - Bomb Report
Rating 1.4 (137) Oct 27, 2018 · Directed By: Nora Ephron · Written By: Adam Resnick · Release Date: October 27, 2000 · Domestic Distributor: Paramount · Cast: John Travolta, Lisa ...
[29]
Lucky Numbers | Rotten Tomatoes
Desperate to escape financial ruin, he schemes with Crystal (Lisa Kudrow) the TV station's lotto ball girl to rig the state lottery drawing.
[30]
Lucky Numbers Reviews - Metacritic
Rating 1.6 (30) A television weatherman (Travolta), in need of cash, schemes to defraud the state lottery. Directed By: Nora Ephron Written By: Adam Resnick<|control11|><|separator|>
[31]
More Than Just `Lucky' / Travolta, Kudrow lead talented cast - SFGATE
LUCKY NUMBERS: Comedy. Starring John Travolta and Lisa Kudrow ... Lisa Kudrow has never been better. She plays Crystal, the Lotto Ball ...<|separator|>
[32]
Lucky Numbers movie review & film summary (2000) - Roger Ebert
Rating 2/4 · Review by Roger Ebert"Lucky Numbers," starring John Travolta as a TV weatherman who tries to rig the lottery, tells too much story at not enough energy. It should have been cut.
[33]
https://ew.com/article/2000/10/27/lucky-numbers-isnt-light-comedy-its-trailers-suggest/
[34]
Lucky Numbers - Rolling Stone
Oct 27, 2000 · Adam Resnick's bilious script, inspired by an actual lottery fraud, concerns a plan concocted by Russ and Crystal to rig the lotto drawing.
[35]
All 21 Movies That Flunked CinemaScore With F Grade ... - TheWrap
Sep 19, 2022 · Ewan McGregor plays a detective who goes chasing after a serial killer (Ashley Judd). “Lucky Numbers” (2000) Rotten Tomatoes Score: 22%. Nora ...
[36]
ENTERTAINMENT | Travolta leads Raspberries race - BBC News
Feb 13, 2001 · Travolta was also nominated for worst actor for Lucky Numbers. He is ... Showgirls from 1995 holds the record of the most Razzie nominations with ...
[37]
2000 Stinkers Bad Movie Awards - Wikipedia
Worst Actor. John Travolta in Battlefield Earth and Lucky Numbers ; Worst Actress. Madonna in The Next Best Thing.
[38]
Lucky Numbers streaming: where to watch online? - JustWatch
... Trailer Preview Image. About the movie. Director. Nora Ephron. Rating. JustWatch Rating. 41% (72). IMDB. 5.1 (11k). ROTTEN TOMATOES 23%. Lucky Numbers. 38.
[39]
This Is the Worst Couple in a Nora Ephron Movie - Collider
Sep 10, 2023 · John Travolta and Lisa Kudrow star in Nora Ephron's Lucky Numbers as one of the worst, most unlikeable couples in the rom-com director's ...Missing: tours | Show results with:tours
[40]
Nora Ephron Tributes: Meryl Streep, Billy Crystal, Carrie Fisher ...
Jul 11, 2012 · Nora Ephron Tributes: Meryl Streep, Billy Crystal, Carrie Fisher Remember the Late Writer-Director ... Industry friends share personal memories ...Missing: Numbers | Show results with:Numbers